“The Sphere and the Ball” - The tale of the emergence of the ball. Any section of a ball by a plane is a circle. Astronomical observations of the firmament invariably evoked the image of a sphere. Presentation Sphere and ball. Definition. The sphere has always been widely used in various areas science and technology. The section passing through the center of the ball is a large circle. (diametrical section).
“Geometry Sphere and Ball” - Historical background: Egyptian pyramids. Dandelin Germinal Pierre (04/12/1794 - 02/15/1847). Two meanings: Learned about the application of knowledge about inscribed balls. 4) Volume of the pyramid. Abstract on geometry. 6) We find the volume of the ball using the following formula: The abstract presents definitions, theorems and corollaries from theorems on inscribed balls and spheres.
“Circle circle sphere sphere” - What volume does such a sphere have? Radius. By analogy with a circle, explain what is: a) radius; b) chord; c) diameter of the sphere. Wheel. Ball. Circumference. Center of the ball (sphere). Area of a circle. Find the surface area of a sphere with a radius of 3 m. Let's select the value of R with an accuracy of 1 cm. Ball and sphere. Diameter. Circle.
"Balloons" - Goose dry! What will the bunny answer to the horse? Why can a ball lose altitude? How will the sediment of a piece of ice change? Determine Fout. Sailing of ships. As a result, the dog landed safely! Why was the shell size made so large? Determine the buoyancy forces in both cases. Start of the hot air balloon.
“Ball 11th grade” - Sphere and ball in people’s lives. Astronomical observations of the firmament invariably evoked the image of a sphere. From the history of its origin. Formula for the area of a sphere and a sphere. History of creation. In ancient times, the sphere was held in high esteem. The sphere has always been widely used in various fields of science and technology. The radius of the ball is 13 cm.
“Cylinder cone ball” - Bodies of revolution. Sections of a cylinder. - Ball segments. Cone section. Definition of a cylinder. Volume of the spherical segment. Task No. 3. Segment volume. Find the volume and surface area of the sphere. The cross section of a cylinder with a plane parallel to the bases is a circle. Types of bodies of rotation. The section of a sphere by a plane is a circle.
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In this webinar, you will learn accessible and interesting ways to increase parental involvement in the meeting. Parental participation can be not only passive, but sometimes even against the teacher’s opinion. Create conditions, use soft forms of invitation to activities and find like-minded people in the person of parents.
Children may find some lessons boring. And then discipline begins to suffer in class, students quickly get tired and do not want to take part in the discussion. Case lessons were created to connect school knowledge with urgently needed competencies such as creativity, systems and critical thinking, determination and others. Thanks to the cases, you can help the student benefit and enjoy studying and cope with his personal problems!
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If you are a teacher, then of course you have wondered: what books do you need to read to make your work bring joy and satisfaction? There is no doubt that you can now find a wealth of information on this issue on the Internet. But it is very difficult to understand such diversity. And figuring out which books will really help you will take a lot of time. In this article, you will learn about what books every teacher should read.
The clarity of the material motivates children primary school to solve a learning problem and maintains interest in the subject. Therefore, one of the most effective teaching methods is the use of flashcards. Cards can be used when teaching any subject, including in club activities and extracurricular activities. For example, the same cards with vegetables and fruits are suitable for teaching counting in mathematics lessons, and for studying the topic of wild and garden plants in the lessons of the surrounding world.
FROM FLAT EARTH TO GLOBE
MULDAROVA SVETLANA GEORGIEVNA
THE INDIANS WERE THE FIRST TO REFUSE THE IDEA OF A FLAT SHAPE OF THE EARTH.
ANCIENT INDIA – THE COUNTRY OF THE WISE AND MATHEMATICS.
IN THEIR OPINION THE EARTH IS NOT FLAT, BUT CONVEX (BECAUSE OF THE MOUNTAIN.)
THE FIRST SCIENTISTS WHO EXPRESSED THE IDEA OF Sphericality of the Earth
ANCIENT GREEK SCIENTIST, MATHEMATICIAN.
HE BELIEVED THAT EVERYTHING IN NATURE IS ORGANIZED CORRECTLY AND BEAUTIFULLY.
AND THE MOST CORRECT AND BEAUTIFUL FIGURE, IN HIS OPINION, IS THE BALL.
THE FIRST SCIENTISTS TO EXPRESS THE IDEA OF A BALL
ARISTOTLE
HE WAS A VERY OBSERVANT AND INTELLIGENT PERSON.
COLLECTED EVIDENCE OF THE EARTH'S SpherICALITY.
ONE OF THE MOST SERIOUS PROOF OF THE EARTH'S SpherICALITY- LUNAR ECLIPSE
THE FIRST SCIENTISTS SPEAKING OUT IDEA ABOUT THE BALL
ERATOSTHENES
REMEMBER WHAT HE IS FAMOUS FOR?
AND ALSO, HE WAS THE FIRST TO CALCULATE THE SIZE OF THE EARTH!!!
THAT IS, ERATOSTHENES WAS ALMOST WRONG IN HIS CALCULATIONS!!!
DO YOU KNOW WHAT THE CIRCUMENCE OF THE EARTH REALLY IS?
IN ORDER TO DO THIS, HE ONLY NEEDED THREE NUMBERS!!!
THE LENGTH OF THE SHADOW THAT THE WAND CAST IN TWO DIFFERENT CITIES AND THE DISTANCE BETWEEN THESE CITIES.
THE CIRCUMSTANCE OF THE EARTH MEASURED BY HIM WAS 39,690 KM.
MAN HAS BEEN THINKING ABOUT THE SHAPE OF THE EARTH SINCE ANCIENT TIMES.
PYTHAGORAS SUGGESTED THAT THE EARTH IS Spherical, AND ARISTOTLE AND ERATOSTHENES OFFERED EVIDENCE FOR THIS PROPOSAL
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Workshop conversation for junior schoolchildren “The globe on the table” Goals and objectives: familiarization with the history of the appearance and use of the globe and geographical maps; development of learning motivation, logical thinking and the ability to solve simple logical problems. Equipment: tabletop globes, various types physical maps, atlases. The teacher tells the children about the globe.
And in ancient times, people traveled little: there was no modern transport, moreover, they did not even know where to go. Our distant ancestors knew little about the planet Earth on which we live. Over time, they learned to build first small boats, and then ships on which they could go on long journeys across the seas and oceans. These wanderings continued for many days and nights. How did the sailors not go astray? What helped them during their travels? (Answers are assumptions from children.) In those distant times that I am telling you about, sailors navigated by the stars. But the stars appear only at night and only in good weather. A globe helped travelers during daylight hours and in bad weather. Not a single ship set sail without a globe. What is a globe, do you know? (Children's answers. The teacher demonstrates the globe; the children look at it.) Look - this is the globe of our planet Earth. The globe was invented and made by people. Looking at the globe, we can learn a lot about our planet. For example, what shape is the Earth? Is there land on it? Is there a lot of water on our planet? There are very interesting globes in the world. The largest of them was made in France. Our whole group could fit inside it (the diameter of the globe is 13 meters). This globe is very heavy, weighing as much as a modern bus. Our country also has amazing globes. One of them is located in St. Petersburg. The diameter of the globe is 3 meters; he was taken out of Germany by Peter the Great; on its outer surface there is a map of the Earth, and on its inner surface there is a map of the starry sky. Another large globe can be seen in Moscow, on the site in front of the planetarium. Nowadays, a wide variety of globes are made. One of them is in front of you. And now I will show you the place where we live (show). This year we will learn a lot more about our planet: and the globe will help us with this. .
Photo of the globe in Moscow in front of the planetarium
Globe of Peter the Great
The giant ball, created back in 1998, is exhibited in a spacious pavilion at the DeLorme headquarters in the American city of Yarmouth.
People started creating maps a long time ago, and these maps were different. Thus, the inhabitants of one of the southern islands wove maps from dried leaves, and marked villages, rivers, mountains, and sea routes with shells, which were attached to a wicker base. They treasured their maps very much and never took them with them on sea voyages, so as not to lose or damage them during a storm. The islanders memorized the map before setting off. Nowadays maps are drawn on paper. People did not immediately create a map of the world, because in ancient times they did not know well the planet on which they lived. This took many, many years. A map is an image, a drawing that represents with the greatest accuracy all the features of the area: land, country, city
History of the issue The shape of the Earth - our home - has worried humanity for quite some time. Today, every schoolchild has no doubt that the planet is spherical. But it took a long time to get to this knowledge, going through church anathemas and the courts of the Inquisition. Today people are wondering who proved that the Earth is round. After all, not everyone liked history and geography lessons. Is the Earth round? Different peoples had their own ideas about the structure of the world and space. Before answering the question of who proved that the Earth is round, you should familiarize yourself with other versions. The earliest theories of worldbuilding claimed that the earth was flat (as people saw it). They explained the movement of the heavenly bodies (sun, moon, stars) by the fact that it was their planet that was the center of the Cosmos and the Universe. IN Ancient Egypt The earth was represented as a disk lying on four elephants. They, in turn, stood on a giant turtle floating in the sea. The one who discovered that the Earth is round has not yet been born, but the theory of the sages of Pharaoh could explain the causes of earthquakes and floods, the rising and setting of the sun. The Greeks also had their own ideas about the world. In their understanding, the earth's disk was covered with celestial spheres, to which stars were tied by invisible threads. They considered the moon and the sun to be gods. Science and the Church The Vatican admitted that the Earth is round rather late. Then, when it was impossible to deny the obvious. Early European authors initially rejected this theory as one that contradicted Holy Scripture. In the time of Kozma, Indicopleustes described the Earth as a kind of box, at the bottom of which rested a stronghold inhabited by people. The sky served as a “lid”, but it was motionless. The moon, stars and sun moved like angels across the sky and hid behind a high mountain. Above this complex structure rested the Kingdom of Heaven. An unknown geographer from Ravenna described our planet as a flat object surrounded by an ocean, an endless desert and mountains, behind which the sun, moon and stars are hidden.
Pythagoras said that the earth is round, but theoretically it was Galileo Galilei who was the first to prove it, “And yet the earth is round,” for which he was burned at the stake, but in practice it was proved by Ferdinand Magellan, who went on an expedition in 1519 , whose goal was to circumnavigate the entire globe. Magellan himself at that time was not yet sure of the happy ending of the voyage, since the idea of the spherical shape of the Earth was only a theoretical assumption, but the journey ended successfully - and it was proven that the Earth is round.
Magellan's first round-the-world expedition 1519-1522. Of the 265 people who went to September 20, 1519 trip around the world under the leadership of Magellan, only 18 sailors returned on September 6, 1522 on the last of the ships, sick and exhausted. Instead of honors, the crew received public repentance for one lost day as a result of moving through time zones around the Earth in a westerly direction. So catholic church punished the heroic team for a mistake in celebrating church dates.
By going outside and looking around, anyone can be convinced: the Earth is flat. There are, of course, hills and depressions, mountains and ravines. But overall it is clearly visible: flat, sloping at the edges. The ancients figured this out a long time ago. They saw the caravan disappearing over the horizon. Climbing the mountain, observers noticed that the horizon was expanding. This led to the inevitable conclusion: the surface of the Earth is a hemisphere.
You will look into the sky and see the stars Zodiacs in life, space will give us As if destinies are together in space planets You will only receive answers on Earth After all, the Earth is the base for the worlds of the Universe On this planet you are not the first For large worlds and civilizations That one was created light, without all abstractions So that we love the blue planet And so that we give our lives for the Earth - this Like a dear mother, she loves and cherishes If the winter cold, she will warm everyone After all, she will not give offense, to all the children born In space far away, for She loved us all and warmed us with our souls Our mother planet warmed us with her heart